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Finding the Third Proportional to 2,096,974,212 and 3,255,952,212

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Solution

The third proportional to 2,096,974,212 and 3,255,952,212 is: 5,055,486,493.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096,974,212 : 3,255,952,212 = 3,255,952,212 : x
  2. Step 2: Convert to fraction form
    2,096,974,212/3,255,952,212 = 3,255,952,212/x
  3. Step 3: Cross multiply
    2,096,974,212x = 3,255,952,212 × 3,255,952,212
  4. Step 4: Simplify right side
    2,096,974,212x = 10,601,224,806,827,692,032
  5. Step 5: Solve for x
    x = 10,601,224,806,827,692,032/2,096,974,212
  6. Step 6: Final answer
    x = 5,055,486,493.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.